On the calculation of electron-phonon mass enhancement of transition metals in the tight-binding formalism

Abstract

The electronic contribution to the electron-phonon mass enhancement is calculated for an element having BCC structure in the approximation of a single narrow band. The calculation is applied to the d band of transition metals which is represented in (i) the tight binding and (ii) the 'resonance' picture. Although the calculation depends upon the chosen symmetry of the band, the results are found to have the same order of magnitude in both schemes. For case (i), the sensitivity of the results to the choice of potential and d wave function is also discussed.